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Finding the Fourth Proportional to 1,798.20, 2,684.24 and 1,579.50

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Solution

The fourth proportional to 1,798.20, 2,684.24 and 1,579.50 is: 2,357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.20 : 2,684.24 = 1,579.50 : x
  2. Step 2: Convert to fraction form
    1,798.20/2,684.24 = 1,579.50/x
  3. Step 3: Cross multiply
    1,798.20x = 2,684.24 × 1,579.50
  4. Step 4: Simplify right side
    1,798.20x = 4,239,755.11
  5. Step 5: Solve for x
    x = 4,239,755.11/1,798.20
  6. Step 6: Final answer
    x = 2,357.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.